87440400 has 180 divisors, whose sum is σ = 307627632. Its totient is φ = 22997760.

The previous prime is 87440393. The next prime is 87440461. The reversal of 87440400 is 404478.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385087 + ... + 385313.

Almost surely, 2^87440400 is an apocalyptic number.

87440400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153813816).

87440400 is an abundant number, since it is smaller than the sum of its proper divisors (220187232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87440400 is a wasteful number, since it uses less digits than its factorization.

87440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 87440400 is about 9350.9571702580. The cubic root of 87440400 is about 443.8511797319.

Adding to 87440400 its reverse (404478), we get a palindrome (87844878).

The spelling of 87440400 in words is "eighty-seven million, four hundred forty thousand, four hundred".